Question

In a zoo, there are rabbits and pigeons. If their heads are counted, these are 90 while their legs are 224. Find the number of pigeons in the zoo.

• A. 70
• B. 68
• C. 72
• D. 22

Answer 1

Answer: (B)

68

Answer 2

Let's Assume the number of Rabbits = $x$

Let's Assume the number of Pigeons = $y$

So, according to the question,

$x + y = 90$ – (i)

$4x + 2y = 224$ as rabbits have 4 legs and pigeons have 2 legs – (ii)

$x = 90 - y$

Substituting the value of $x$ in equation (ii)

4(90 − $y$)+ $2y$ = 224

360 − $4y$ + $2y$ = 224

360 - $2y$ = 224

$- 2y =$ 224 - 360

$- 2y$ = - 136

$y = 68$

the number of Pigeons = 68

The correct option is (B): 68